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Finding the Fourth Proportional to 427,038, 589,308.12 and 236,042.16

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Solution

The fourth proportional to 427,038, 589,308.12 and 236,042.16 is: 325,735.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,038 : 589,308.12 = 236,042.16 : x
  2. Step 2: Convert to fraction form
    427,038/589,308.12 = 236,042.16/x
  3. Step 3: Cross multiply
    427,038x = 589,308.12 × 236,042.16
  4. Step 4: Simplify right side
    427,038x = 139,101,561,550.34
  5. Step 5: Solve for x
    x = 139,101,561,550.34/427,038
  6. Step 6: Final answer
    x = 325,735.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.